9482400 has 144 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 2522880.

The previous prime is 9482399. The next prime is 9482411. The reversal of 9482400 is 42849.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21381 + ... + 21819.

It is an arithmetic number, because the mean of its divisors is an integer number (238700).

Almost surely, 2^9482400 is an apocalyptic number.

9482400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

9482400 is an abundant number, since it is smaller than the sum of its proper divisors (24890400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9482400 is a wasteful number, since it uses less digits than its factorization.

9482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9482400 is about 3079.3505808855. The cubic root of 9482400 is about 211.6603080185.

The spelling of 9482400 in words is "nine million, four hundred eighty-two thousand, four hundred".